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Functions/Subroutines</h2></td></tr>
<tr class="memitem:a5067c8634bbc3cd88a507d8816134d40"><td class="memItemLeft" align="right" valign="top">integer(fgsl_int) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#a5067c8634bbc3cd88a507d8816134d40">fgsl_isnan</a> (x)</td></tr>
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<tr class="memitem:a740aba8e50497aee7f31503b9fa4ba6b"><td class="memItemLeft" align="right" valign="top">integer(fgsl_int) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#a740aba8e50497aee7f31503b9fa4ba6b">fgsl_finite</a> (x)</td></tr>
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<tr class="memitem:ae1ca85647dff8d9f70b3126845c87443"><td class="memItemLeft" align="right" valign="top">real(fgsl_double) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#ae1ca85647dff8d9f70b3126845c87443">fgsl_log1p</a> (x)</td></tr>
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<tr class="memitem:ab63b6ca1585dc1aa1ad824c6621eed51"><td class="memItemLeft" align="right" valign="top">real(fgsl_double) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#ab63b6ca1585dc1aa1ad824c6621eed51">fgsl_expm1</a> (x)</td></tr>
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<tr class="memitem:af7330c8b04fc10b1850f2d4ce9291690"><td class="memItemLeft" align="right" valign="top">real(fgsl_double) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#af7330c8b04fc10b1850f2d4ce9291690">fgsl_acosh</a> (x)</td></tr>
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<tr class="memitem:a2d2d1b0a15932d8bbf2741cd2e7a4ba2"><td class="memItemLeft" align="right" valign="top">real(fgsl_double) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#a2d2d1b0a15932d8bbf2741cd2e7a4ba2">fgsl_asinh</a> (x)</td></tr>
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<tr class="memitem:a82dce86ff9a928aba7b35f9af6a9f5cc"><td class="memItemLeft" align="right" valign="top">real(fgsl_double) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#a82dce86ff9a928aba7b35f9af6a9f5cc">fgsl_atanh</a> (x)</td></tr>
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<tr class="memitem:a4673afab0b7df7e7e3f05a057b5f8486"><td class="memItemLeft" align="right" valign="top">real(fgsl_double) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#a4673afab0b7df7e7e3f05a057b5f8486">fgsl_ldexp</a> (x, e)</td></tr>
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<tr class="memitem:ab40b3e555596120ef1e85184704415ca"><td class="memItemLeft" align="right" valign="top">integer(fgsl_int) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#ab40b3e555596120ef1e85184704415ca">fgsl_fcmp</a> (x, y, eps)</td></tr>
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<tr class="memitem:a3763fefa672f280ed40fb19756dbd88c"><td class="memItemLeft" align="right" valign="top">type(fgsl_function) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#a3763fefa672f280ed40fb19756dbd88c">fgsl_function_init</a> (func, params)</td></tr>
<tr class="memdesc:a3763fefa672f280ed40fb19756dbd88c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor for an FGSL function type.  <a href="#a3763fefa672f280ed40fb19756dbd88c">More...</a><br /></td></tr>
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<tr class="memitem:abb3c595b71761c1825021ce600493f75"><td class="memItemLeft" align="right" valign="top">type(fgsl_function_fdf) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#abb3c595b71761c1825021ce600493f75">fgsl_function_fdf_init</a> (f, df, fdf, params)</td></tr>
<tr class="memdesc:abb3c595b71761c1825021ce600493f75"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor for an FGSL function type including a derivative.  <a href="#abb3c595b71761c1825021ce600493f75">More...</a><br /></td></tr>
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<tr class="memitem:a2119e5b0091febc676ee418b8b211bf5"><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#a2119e5b0091febc676ee418b8b211bf5">fgsl_function_free</a> (sfunc)</td></tr>
<tr class="memdesc:a2119e5b0091febc676ee418b8b211bf5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Free resources associated with a FGSL function object.  <a href="#a2119e5b0091febc676ee418b8b211bf5">More...</a><br /></td></tr>
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<tr class="memitem:a03e913de6c833197efae52ed50290cfb"><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#a03e913de6c833197efae52ed50290cfb">fgsl_function_fdf_free</a> (sfunc)</td></tr>
<tr class="memdesc:a03e913de6c833197efae52ed50290cfb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Free resources associated with a FGSL function with derivative object.  <a href="#a03e913de6c833197efae52ed50290cfb">More...</a><br /></td></tr>
<tr class="separator:a03e913de6c833197efae52ed50290cfb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6c38a834ecc0149664dbb667f104fcce"><td class="memItemLeft" align="right" valign="top">real(fgsl_double) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#a6c38a834ecc0149664dbb667f104fcce">fgsl_fn_eval</a> (sfunc, x)</td></tr>
<tr class="memdesc:a6c38a834ecc0149664dbb667f104fcce"><td class="mdescLeft">&#160;</td><td class="mdescRight">Evaluate a function value for a FGSL function object.  <a href="#a6c38a834ecc0149664dbb667f104fcce">More...</a><br /></td></tr>
<tr class="separator:a6c38a834ecc0149664dbb667f104fcce"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a76c063c0086a88bd27f75c808041b9dd"><td class="memItemLeft" align="right" valign="top">real(fgsl_double) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#a76c063c0086a88bd27f75c808041b9dd">fgsl_fn_fdf_eval_f</a> (sfunc, x)</td></tr>
<tr class="memdesc:a76c063c0086a88bd27f75c808041b9dd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Evaluate a function value for a FGSL function with derivative object.  <a href="#a76c063c0086a88bd27f75c808041b9dd">More...</a><br /></td></tr>
<tr class="separator:a76c063c0086a88bd27f75c808041b9dd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a67a49e7d1dec1c5c407e1ccd62db581a"><td class="memItemLeft" align="right" valign="top">real(fgsl_double) function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#a67a49e7d1dec1c5c407e1ccd62db581a">fgsl_fn_fdf_eval_df</a> (sfunc, x)</td></tr>
<tr class="memdesc:a67a49e7d1dec1c5c407e1ccd62db581a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Evaluate a derivative value for a FGSL function with derivative object.  <a href="#a67a49e7d1dec1c5c407e1ccd62db581a">More...</a><br /></td></tr>
<tr class="separator:a67a49e7d1dec1c5c407e1ccd62db581a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a950ecd7cffcfa33d10a2b8db5c6befcd"><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="math_8finc.html#a950ecd7cffcfa33d10a2b8db5c6befcd">fgsl_fn_fdf_eval_f_df</a> (sfunc, x, y, dy)</td></tr>
<tr class="memdesc:a950ecd7cffcfa33d10a2b8db5c6befcd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Evaluate function as well as derivative value for a FGSL function with derivative object.  <a href="#a950ecd7cffcfa33d10a2b8db5c6befcd">More...</a><br /></td></tr>
<tr class="separator:a950ecd7cffcfa33d10a2b8db5c6befcd"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<h2 class="groupheader">Function/Subroutine Documentation</h2>
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          <td class="memname">real(fgsl_double) function fgsl_acosh </td>
          <td>(</td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
        </tr>
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          <td class="memname">real(fgsl_double) function fgsl_asinh </td>
          <td>(</td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

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          <td class="memname">real(fgsl_double) function fgsl_atanh </td>
          <td>(</td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

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          <td class="memname">real(fgsl_double) function fgsl_expm1 </td>
          <td>(</td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="ab40b3e555596120ef1e85184704415ca"></a>
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          <td class="memname">integer(fgsl_int) function fgsl_fcmp </td>
          <td>(</td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>y</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>eps</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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          <td class="memname">integer(fgsl_int) function fgsl_finite </td>
          <td>(</td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
        </tr>
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          <td class="memname">real(fgsl_double) function fgsl_fn_eval </td>
          <td>(</td>
          <td class="paramtype">type(fgsl_function), intent(inout)&#160;</td>
          <td class="paramname"><em>sfunc</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<p>Evaluate a function value for a FGSL function object. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">sfunc</td><td>- function object. </td></tr>
    <tr><td class="paramname">x</td><td>- argument value </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Function value </dd></dl>

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          <td class="memname">real(fgsl_double) function fgsl_fn_fdf_eval_df </td>
          <td>(</td>
          <td class="paramtype">type(fgsl_function_fdf), intent(inout)&#160;</td>
          <td class="paramname"><em>sfunc</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<p>Evaluate a derivative value for a FGSL function with derivative object. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">sfunc</td><td>- function with derivative object. </td></tr>
    <tr><td class="paramname">x</td><td>- argument value </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Derivative value </dd></dl>

</div>
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          <td class="memname">real(fgsl_double) function fgsl_fn_fdf_eval_f </td>
          <td>(</td>
          <td class="paramtype">type(fgsl_function_fdf), intent(inout)&#160;</td>
          <td class="paramname"><em>sfunc</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<p>Evaluate a function value for a FGSL function with derivative object. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">sfunc</td><td>- function with derivative object. </td></tr>
    <tr><td class="paramname">x</td><td>- argument value </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Function value </dd></dl>

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          <td class="memname">subroutine fgsl_fn_fdf_eval_f_df </td>
          <td>(</td>
          <td class="paramtype">type(fgsl_function_fdf), intent(inout)&#160;</td>
          <td class="paramname"><em>sfunc</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(fgsl_double), intent(out)&#160;</td>
          <td class="paramname"><em>y</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(fgsl_double), intent(out)&#160;</td>
          <td class="paramname"><em>dy</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Evaluate function as well as derivative value for a FGSL function with derivative object. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">sfunc</td><td>- function with derivative object. </td></tr>
    <tr><td class="paramname">x</td><td>- argument value </td></tr>
    <tr><td class="paramname">y</td><td>- function value </td></tr>
    <tr><td class="paramname">dy</td><td>- derivative value </td></tr>
  </table>
  </dd>
</dl>

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          <td class="memname">real(fgsl_double) function fgsl_frexp </td>
          <td>(</td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer(fgsl_int), intent(out)&#160;</td>
          <td class="paramname"><em>e</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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          <td class="memname">subroutine fgsl_function_fdf_free </td>
          <td>(</td>
          <td class="paramtype">type(fgsl_function_fdf), intent(inout)&#160;</td>
          <td class="paramname"><em>sfunc</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
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<p>Free resources associated with a FGSL function with derivative object. </p>

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          <td class="memname">type(fgsl_function_fdf) function fgsl_function_fdf_init </td>
          <td>(</td>
          <td class="paramtype">&#160;</td>
          <td class="paramname"><em>f</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">&#160;</td>
          <td class="paramname"><em>df</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">&#160;</td>
          <td class="paramname"><em>fdf</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">type(c_ptr), intent(in)&#160;</td>
          <td class="paramname"><em>params</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Constructor for an FGSL function type including a derivative. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">f</td><td>- interface for a double precision valued function with a parameter of arbitrary type </td></tr>
    <tr><td class="paramname">df</td><td>- interface for a function evaluating the derivative of f </td></tr>
    <tr><td class="paramname">fdf</td><td>- interface for a subroutine evaluating f as well as its derivative given an argument and a parameter. </td></tr>
    <tr><td class="paramname">params</td><td>- parameter of arbitrary type </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>FGSL function with derivative object. </dd></dl>

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          <td class="memname">subroutine fgsl_function_free </td>
          <td>(</td>
          <td class="paramtype">type(fgsl_function), intent(inout)&#160;</td>
          <td class="paramname"><em>sfunc</em></td><td>)</td>
          <td></td>
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<p>Free resources associated with a FGSL function object. </p>

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          <td class="memname">type(fgsl_function) function fgsl_function_init </td>
          <td>(</td>
          <td class="paramtype">&#160;</td>
          <td class="paramname"><em>func</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">type(c_ptr), intent(in)&#160;</td>
          <td class="paramname"><em>params</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Constructor for an FGSL function type. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">func</td><td>- interface for a double precision valued function with a parameter of arbitrary type </td></tr>
    <tr><td class="paramname">params</td><td>- parameter of arbitrary type </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>FGSL function object. </dd></dl>

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          <td class="memname">integer(fgsl_int) function fgsl_isinf </td>
          <td>(</td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
        </tr>
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          <td class="memname">integer(fgsl_int) function fgsl_isnan </td>
          <td>(</td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
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      </table>
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          <td class="memname">real(fgsl_double) function fgsl_ldexp </td>
          <td>(</td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer(fgsl_int), intent(in)&#160;</td>
          <td class="paramname"><em>e</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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          <td class="memname">real(fgsl_double) function fgsl_log1p </td>
          <td>(</td>
          <td class="paramtype">real(fgsl_double), intent(in)&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
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